Probably not in the way the OP is saying. But I seem to recall one Mythbuster episode where they proved that if you downed a large quantity of Sodium Bicarbonate and 5 cokes, combined with your stomach acid it would be enough to rupture your stomach (which is aprox. equal to ‘burst a gut’ I suppose).
First, let’s define terms. “Burst a gut” could mean either blowing out a part of the alimentary tract, somewhere between the throat and the anus, or blowing out part of the abdominal wall, that sheet of muscle and connective tissue that keeps your innards from falling out.
Bursting any part of the alimentary tract is very unusual, except from violent injury. Bursting through the abdominal wall is more common, and we call it hernia. Most often, we get them from improper lifting, but not always. The surgeon who patched both of mine told me they happen from many things, including hard sneezing and coughing. Could you get a hernia from beefing up a fart, or even a Captain Beef Fart? I don’t know.
I asked the surgeon after my first hernia how I could avoid getting one on the other side. He said, “Choose other parents.” It’s genetic.